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Finding the Fourth Proportional to 7,010.94, 9,682.30 and 5,820.24

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Solution

The fourth proportional to 7,010.94, 9,682.30 and 5,820.24 is: 8,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.94 : 9,682.30 = 5,820.24 : x
  2. Step 2: Convert to fraction form
    7,010.94/9,682.30 = 5,820.24/x
  3. Step 3: Cross multiply
    7,010.94x = 9,682.30 × 5,820.24
  4. Step 4: Simplify right side
    7,010.94x = 56,353,309.75
  5. Step 5: Solve for x
    x = 56,353,309.75/7,010.94
  6. Step 6: Final answer
    x = 8,037.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.